Let X and Y be two random variables with joint probability d

Let X and Y be two random variables with joint probability density function

f(x,y)= k(xy-x) for 0<x<1, 0<y<1 and 0 elsewhere

we know k=-4

a) Find P(X>1/2 and Y<3/4)

b) Find P(X+Y<1)

c) find the cumultive distribution function, namely F(x,y).

Solution